Lumatone mapping for 118edo
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There are many conceivable ways to map 118edo onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. Note that due to the size of the edo, this covers less than half of its notes.
4
24
13
33
53
73
93
2
22
42
62
82
102
4
24
11
31
51
71
91
111
13
33
53
73
93
0
20
40
60
80
100
2
22
42
62
82
102
4
24
9
29
49
69
89
109
11
31
51
71
91
111
13
33
53
73
93
116
18
38
58
78
98
0
20
40
60
80
100
2
22
42
62
82
102
4
24
7
27
47
67
87
107
9
29
49
69
89
109
11
31
51
71
91
111
13
33
53
73
93
114
16
36
56
76
96
116
18
38
58
78
98
0
20
40
60
80
100
2
22
42
62
82
102
4
24
25
45
65
85
105
7
27
47
67
87
107
9
29
49
69
89
109
11
31
51
71
91
111
13
33
53
73
93
74
94
114
16
36
56
76
96
116
18
38
58
78
98
0
20
40
60
80
100
2
22
42
62
82
102
25
45
65
85
105
7
27
47
67
87
107
9
29
49
69
89
109
11
31
51
71
91
111
74
94
114
16
36
56
76
96
116
18
38
58
78
98
0
20
40
60
80
100
25
45
65
85
105
7
27
47
67
87
107
9
29
49
69
89
109
74
94
114
16
36
56
76
96
116
18
38
58
78
98
25
45
65
85
105
7
27
47
67
87
107
74
94
114
16
36
56
76
96
25
45
65
85
105
74
94
Since 118edo is a schismatic tuning, the best approximation to the 5th harmonic is the diminished 4th. There is an alternate diatonic scale that makes near perfect 5-limit chords easy to play, but it has an octave stretch of approximately half a syntonic comma. Since you can access nearly every note in alternating octaves, this may actually be advantageous.
108
9
2
21
40
59
78
113
14
33
52
71
90
109
10
7
26
45
64
83
102
3
22
41
60
79
0
19
38
57
76
95
114
15
34
53
72
91
110
11
12
31
50
69
88
107
8
27
46
65
84
103
4
23
42
61
80
5
24
43
62
81
100
1
20
39
58
77
96
115
16
35
54
73
92
111
12
17
36
55
74
93
112
13
32
51
70
89
108
9
28
47
66
85
104
5
24
43
62
81
10
29
48
67
86
105
6
25
44
63
82
101
2
21
40
59
78
97
116
17
36
55
74
93
112
13
41
60
79
98
117
18
37
56
75
94
113
14
33
52
71
90
109
10
29
48
67
86
105
6
25
44
63
82
91
110
11
30
49
68
87
106
7
26
45
64
83
102
3
22
41
60
79
98
117
18
37
56
75
94
42
61
80
99
0
19
38
57
76
95
114
15
34
53
72
91
110
11
30
49
68
87
106
92
111
12
31
50
69
88
107
8
27
46
65
84
103
4
23
42
61
80
99
43
62
81
100
1
20
39
58
77
96
115
16
35
54
73
92
111
93
112
13
32
51
70
89
108
9
28
47
66
85
104
44
63
82
101
2
21
40
59
78
97
116
94
113
14
33
52
71
90
109
45
64
83
102
3
95
114
If you want to be able to access the full gamut, the 4L 11s parakleismic mapping is probably the most efficient and intuitive layout.
78
84
91
97
103
109
115
98
104
110
116
4
10
16
22
111
117
5
11
17
23
29
35
41
47
53
0
6
12
18
24
30
36
42
48
54
60
66
72
78
13
19
25
31
37
43
49
55
61
67
73
79
85
91
97
103
109
20
26
32
38
44
50
56
62
68
74
80
86
92
98
104
110
116
4
10
16
33
39
45
51
57
63
69
75
81
87
93
99
105
111
117
5
11
17
23
29
35
41
47
40
46
52
58
64
70
76
82
88
94
100
106
112
0
6
12
18
24
30
36
42
48
54
60
66
72
59
65
71
77
83
89
95
101
107
113
1
7
13
19
25
31
37
43
49
55
61
67
73
79
85
91
97
103
84
90
96
102
108
114
2
8
14
20
26
32
38
44
50
56
62
68
74
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86
92
98
104
110
116
115
3
9
15
21
27
33
39
45
51
57
63
69
75
81
87
93
99
105
111
117
5
11
22
28
34
40
46
52
58
64
70
76
82
88
94
100
106
112
0
6
12
18
53
59
65
71
77
83
89
95
101
107
113
1
7
13
19
25
31
78
84
90
96
102
108
114
2
8
14
20
26
32
38
109
115
3
9
15
21
27
33
39
45
51
16
22
28
34
40
46
52
58
47
53
59
65
71
72
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